Mr Daniels Maths
Solving Quadratic Equations by Factorising

Set 1

Set 2

Set 3

Q1) \(x^2 + 10x + 21\) =0 [
\(x = -7\) or \(x = -3\)]

Q1) \(x^2 -7x + 12\)=0 [
\(x = 4\) or \( 3\)]

Q1) \(4 x^2 + 16x + 15 =0\) [ x = -2\(\frac{1}{2}\) or x =-1\(\frac{1}{2}\)]

Q2) \(x^2 + 14x + 45\) =0 [
\(x = -5\) or \(x = -9\)]

Q2) \(x^2 + 6x + 5\)=0 [
\(x = -1\) or \( -5\)]

Q2) \(6 x^2 + 7x + 2 =0\) [ x = -\(\frac{2}{3}\) or x =-\(\frac{1}{2}\)]

Q3) \(x^2 + 12x + 36\) =0 [
\(x = -6\) or \(x = -6\)]

Q3) \(x^2 + x -2\)=0 [
\(x = -2\) or \( 1\)]

Q3) \(9 x^2 + 27x + 8 =0\) [ x = -2\(\frac{2}{3}\) or x =-\(\frac{1}{3}\)]

Q4) \(x^2 + 17x + 70\) =0 [
\(x = -7\) or \(x = -10\)]

Q4) \(x^2 + 9x + 20\)=0 [
\(x = -4\) or \( -5\)]

Q4) \(8 x^2 + 30x + 7 =0\) [ x = -3\(\frac{1}{2}\) or x =-\(\frac{1}{4}\)]

Q5) \(x^2 + 8x + 7\) =0 [
\(x = -7\) or \(x = -1\)]

Q5) \(x^2 + x -12\)=0 [
\(x = 3\) or \( -4\)]

Q5) \(4 x^2 + 8x + 3 =0\) [ x = -1\(\frac{1}{2}\) or x =-\(\frac{1}{2}\)]

Q6) \(x^2 + 15x + 54\) =0 [
\(x = -9\) or \(x = -6\)]

Q6) \(x^2 -2x + 1\)=0 [
\(x = 1\) or \( 1\)]

Q6) \(6 x^2 + 19x + 8 =0\) [ x = -2\(\frac{2}{3}\) or x =-\(\frac{1}{2}\)]

Q7) \(x^2 + 19x + 90\) =0 [
\(x = -10\) or \(x = -9\)]

Q7) \(x^2 + 3x -4\)=0 [
\(x = 1\) or \( -4\)]

Q7) \(6 x^2 + 17x + 5 =0\) [ x = -2\(\frac{1}{2}\) or x =-\(\frac{1}{3}\)]

Q8) \(x^2 + 12x + 20\) =0 [
\(x = -10\) or \(x = -2\)]

Q8) \(x^2 + 2x -8\)=0 [
\(x = 2\) or \( -4\)]

Q8) \(6 x^2 + 19x + 15 =0\) [ x = -1\(\frac{2}{3}\) or x =-1\(\frac{1}{2}\)]

Q9) \(x^2 + 16x + 60\) =0 [
\(x = -10\) or \(x = -6\)]

Q9) \(x^2 + 3x -10\)=0 [
\(x = 2\) or \( -5\)]

Q9) \(4 x^2 + 16x + 7 =0\) [ x = -3\(\frac{1}{2}\) or x =-\(\frac{1}{2}\)]

Q10) \(x^2 + 11x + 10\) =0 [
\(x = -10\) or \(x = -1\)]

Q10) \(x^2 + 3x + 2\)=0 [
\(x = -2\) or \( -1\)]

Q10) \(6 x^2 + 29x + 9 =0\) [ x = -4\(\frac{1}{2}\) or x =-\(\frac{1}{3}\)]